Finding the Fourth Proportional to 9,775.32, 13,490.82 and 5,584.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,775.32 : 13,490.82 = 5,584.92 : x
2. Step 2: Convert to fraction form
   9,775.32/13,490.82 = 5,584.92/x
3. Step 3: Cross multiply
   9,775.32x = 13,490.82 × 5,584.92
4. Step 4: Simplify right side
   9,775.32x = 75,345,150.43
5. Step 5: Solve for x
   x = 75,345,150.43/9,775.32
6. Step 6: Final answer
   x = 7,707.69